Integer Addition and Subtraction Practice Worksheet

Problem: Integer Addition and Subtraction

The task is to solve the given integer addition and subtraction problems. Below, I will solve each problem step by step.

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#### Left Column:

1. 9 + 0 =
- Adding 0 to any number does not change its value.
- Answer: \( 9 \)

2. (-6) + 8 =
- Subtract the smaller absolute value from the larger absolute value: \( 8 - 6 = 2 \).
- Since 8 (positive) has a larger absolute value, the result is positive.
- Answer: \( 2 \)

3. (-4) + 5 =
- Subtract the smaller absolute value from the larger absolute value: \( 5 - 4 = 1 \).
- Since 5 (positive) has a larger absolute value, the result is positive.
- Answer: \( 1 \)

4. 4 + (-2) =
- Subtract the smaller absolute value from the larger absolute value: \( 4 - 2 = 2 \).
- Since 4 (positive) has a larger absolute value, the result is positive.
- Answer: \( 2 \)

5. (-6) + 5 =
- Subtract the smaller absolute value from the larger absolute value: \( 6 - 5 = 1 \).
- Since -6 (negative) has a larger absolute value, the result is negative.
- Answer: \( -1 \)

6. 7 - 8 =
- Subtract 8 from 7: \( 7 - 8 = -1 \).
- Answer: \( -1 \)

7. (-5) - 7 =
- Subtracting a positive number from a negative number makes the result more negative.
- \( -5 - 7 = -12 \).
- Answer: \( -12 \)

8. 4 + (-7) =
- Subtract the smaller absolute value from the larger absolute value: \( 7 - 4 = 3 \).
- Since -7 (negative) has a larger absolute value, the result is negative.
- Answer: \( -3 \)

9. 6 - 10 =
- Subtract 10 from 6: \( 6 - 10 = -4 \).
- Answer: \( -4 \)

10. 9 + (-3) =
- Subtract the smaller absolute value from the larger absolute value: \( 9 - 3 = 6 \).
- Since 9 (positive) has a larger absolute value, the result is positive.
- Answer: \( 6 \)

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#### Right Column:

1. -6 + (-2) =
- Adding two negative numbers results in a negative sum.
- \( -6 - 2 = -8 \).
- Answer: \( -8 \)

2. 4 + (-8) =
- Subtract the smaller absolute value from the larger absolute value: \( 8 - 4 = 4 \).
- Since -8 (negative) has a larger absolute value, the result is negative.
- Answer: \( -4 \)

3. 8 - 10 =
- Subtract 10 from 8: \( 8 - 10 = -2 \).
- Answer: \( -2 \)

4. 9 - (-4) =
- Subtracting a negative number is equivalent to adding its positive counterpart.
- \( 9 + 4 = 13 \).
- Answer: \( 13 \)

5. 8 + 6 =
- Add the two positive numbers.
- \( 8 + 6 = 14 \).
- Answer: \( 14 \)

6. -5 + 5 =
- Adding a number and its opposite results in 0.
- Answer: \( 0 \)

7. 9 + (-12) =
- Subtract the smaller absolute value from the larger absolute value: \( 12 - 9 = 3 \).
- Since -12 (negative) has a larger absolute value, the result is negative.
- Answer: \( -3 \)

8. 4 - 9 =
- Subtract 9 from 4: \( 4 - 9 = -5 \).
- Answer: \( -5 \)

9. (-5) - 6 =
- Subtracting a positive number from a negative number makes the result more negative.
- \( -5 - 6 = -11 \).
- Answer: \( -11 \)

10. 3 - (-8) =
- Subtracting a negative number is equivalent to adding its positive counterpart.
- \( 3 + 8 = 11 \).
- Answer: \( 11 \)

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Final Answers:

\[
\begin{array}{ll}
9 + 0 = 9 & -6 + (-2) = -8 \\
(-6) + 8 = 2 & 4 + (-8) = -4 \\
(-4) + 5 = 1 & 8 - 10 = -2 \\
4 + (-2) = 2 & 9 - (-4) = 13 \\
(-6) + 5 = -1 & 8 + 6 = 14 \\
7 - 8 = -1 & -5 + 5 = 0 \\
(-5) - 7 = -12 & 9 + (-12) = -3 \\
4 + (-7) = -3 & 4 - 9 = -5 \\
6 - 10 = -4 & (-5) - 6 = -11 \\
9 + (-3) = 6 & 3 - (-8) = 11 \\
\end{array}
\]

\boxed{
\begin{array}{ll}
9 & -8 \\
2 & -4 \\
1 & -2 \\
2 & 13 \\
-1 & 14 \\
-1 & 0 \\
-12 & -3 \\
-3 & -5 \\
-4 & -11 \\
6 & 11 \\
\end{array}
}